Frege, Kant, and the logic in logicism.

From: The Philosophical Review | Date: January 1, 2002| Author: MacFarlane, John | Copyright information

1. The Problem

Let me start with a well-known story. Kant held that logic and conceptual analysis alone cannot account for our knowledge of arithmetic: "however we might turn and twist our concepts, we could never, by the mere analysis of them, and without the aid of intuition, discover what is the sum [7+5]" (KrV, B16). Frege took himself to have shown that Kant was wrong about this. According to Frege's logicist thesis, every arithmetical concept can be defined in pure...

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